What is the Least Common Multiple of 24349 and 24362?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 24349 and 24362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24349 and 24362, than apply into the LCM equation.

GCF(24349,24362) = 13
LCM(24349,24362) = ( 24349 × 24362) / 13
LCM(24349,24362) = 593190338 / 13
LCM(24349,24362) = 45630026

Least Common Multiple (LCM) of 24349 and 24362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24349 and 24362. First we will calculate the prime factors of 24349 and 24362.

Prime Factorization of 24349

Prime Factorization of 24362

Now multiplying the highest exponent prime factors to calculate the LCM of 24349 and 24362.

LCM(24349,24362) = 13¹ × 1873¹ × 2¹ × 937¹
LCM(24349,24362) = 45630026